Chapter 6.5, Problem 5AYU

It is easiest to graph $y=\sec x$ by first sketching the graph of _____.

(a) $y=\sin x$

(b) $y=\cos x$

(c) $y=\tan x$

(d) $y=\csc x$

To determine

To find: It is easiest to graph $y=\sec x$ by first sketching the graph $y=$?

Answer to Problem 5AYU

Solution:

It is easiest to graph $y=\sec x$ by first sketching the graph $y=\text{ cos }x$.

Explanation of Solution

Given:

$y=\sec x$

Calculation:

b. $y=\text{ cos }x$

According to the reciprocal identity of the secant function, $\sec x=\frac{1}{\cos x}$.

The graph of the secant function is obtained by using this identity.

Thus, first graph the cosecant function and fill the graph of the secant function.

The sentence can thus be completed as follows:

It is easiest to graph $y=\sec x$ by first sketching the graph $y=\text{ cos }x$.